Question

Please help find out how much water is needed(in cubic inches) to make ten legos brick ice cubes

Answer 1

The lego has standard brick as shown in the figure.

It comprizes of 8 cylindrical shapes and one rectangular parallelopiped.

The volume of the lego is the volume of 8 cylinders plus the volume of the parallelopiped.

`V_(cyl)=\pi* r^2* h=\pi*((3)/(32))^2*(1)/(16)=(9)/(16384)\pi`

So the volume of all cylindrical shapes combined is:

`V_(totcyl)=8V_(cyl)=8*(9)/(16384)\pi=(9)/(2048)\pi in^3`

The volume of the paralleopiped is:

`V_p=l* w* h=(5)/(4)*(5)/(8)*(3)/(8)=(75)/(256)in^3`

Hence the total volume is:

`V_(tot)=V_(totcyl)+V_p=(9)/(2048)\pi+(75)/(256)\approx0.3068in^3`

Hence the volume of water needed to make lego ice cube is 0.3068 cubic inches per brick.

For 10 bricks the water needed will be 3.068 cubic inches.